6.要得到函数 =sin (2x-dfrac (pi )(3)) 的图像,只需要将函数 =sin 2x 的-|||-图像-|||-A.向左平移 dfrac (pi )(3) 个单位长度-|||-B.向左平移 dfrac (pi )(6) 个单位长度-|||-C.向右平移 dfrac (pi )(3) 个单位长度-|||-D.向右平移 dfrac (pi )(6) 个单位长度

( (int )_(dfrac {pi )(4)}^dfrac (pi {3)}dfrac (x)({sin )^2x}dx ;

已知函数 (x)=dfrac (1)(2)sin (2x-dfrac (pi )(3)) x∈R,-|||-(1)求f(x)的最小正周期;-|||-(2)求f(

将函数 (x)=sin (omega x+dfrac (pi )(3))(omega gt 0) 的图象向左平移 dfrac (pi )(2) 个-|||-单位

(sin x)=dfrac (1)({cos )^2x} in (0,dfrac (pi )(2)),则(sin x)=dfrac (1)({cos )^2x}

[题目]求函数 =2sin 3x, .in [ -dfrac (pi )(6),dfrac (pi )(6)] 的反函-|||-数.

计算 lim _(xarrow dfrac {pi )(2)}dfrac (ln sin x)({(pi -2x))^2}

求lim _(xarrow dfrac {pi )(2)}dfrac (ln sin x)({(pi -2x))^2}求

2.求下列函数的极值:-|||-(6) (x)=sin x+cos x(-dfrac (pi )(2)leqslant xleqslant dfrac (pi

.函数 =ln sin x 在区间 [ dfrac (pi )(3),dfrac (2pi )(3)] 上满足罗尔定理的

7.计算下列定积分.-|||-(3) (int )_(dfrac {pi )(4)}^dfrac (pi {3)}dfrac (x)({sin )^2x}dx